Authors:
- The author is unquestionably the greatest authority on the subject as well as a masterly writer
- The 3rd edition is thoroughly revised, up-to-date and includes new material on the early history of the subject, and a new chapter recounting recent solution of open problems of long standing in classical aerodynamics
- The expanded bibliography comprises now over fifteen hundred titles
- Includes supplementary material: sn.pub/extras
Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 325)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews of the second edition:
"The second edition of the famous book Grundlehren der Mathematischen Wissenschaften 325 is devoted to the mathematical theory of hyperbolic conservation and balance laws. The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject of conservations laws. … the original text has been reorganized so as to streamline the exposition, enrich the collection of examples, and improve the notation. … The bibliography has been considerably expanded … ." (Evgeniy Panov, Zentralblatt MATH, Vol. 1078, 2006)
"This comprehensive book is about rigorous mathematical theory of balance and conservation laws … . The statements of theorems are carefully and precisely written. The proofs are canonical and illuminating … . This book is sure to convince every reader that working in this area is challenging, enlightening, and joyful. I heartily recommend this book to anyone who wants to learn about the foundations of the theory of balance and conservation laws and their generic relations to continuum physics … ." (Katarina Jegdic, SIAM Review, Vol. 48 (3), 2006)
From the reviews of the third edition:
“Covers the existence, uniqueness, continuous dependence, and qualitative behavior of entropy solutions for, successively, scalar conservation laws, systems of two conservation laws, and general strictly hyperbolic systems. … This book is now widely recognized as the ‘Bible’ on hyperbolic conservation laws, and has contributed to the training of many students while providing a huge amount of invaluable information (including a 100 page bibliography) for researchers working in this field or related areas.” (Philippe G. LeFloch, Mathematical Reviews, Issue 2011 i)
“The third edition of the famous book by C. M. Dafermos … devoted to the mathematical theory of hyperbolic conservation and balance laws. This masterly written book is, surely,the most entire exposition in the subject of conservation laws.” (Evgeniy Panov, Zentralblatt MATH, Vol. 1196, 2010)
Authors and Affiliations
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Div. Applied Mathematics, Brown University, Providence, U.S.A.
Constantine M. Dafermos
About the author
In addition to several honorary degrees, he has received the SIAM W.T. and Idalia Reid Prize (2000), the Cataldo e Angiola Agostinelli Prizeof the Accademia Nazionale dei Lincei (2011), the Galileo Medal of the City of Padua (2012), and the Prize of the International Society for the Interaction of Mechanics and Mathematics (2014). He was elected a Fellow of SIAM (2009) and a Fellow of the AMS (2013). In 2016 he received the Wiener Prize, awarded jointly by the American Mathematical Society (AMS) and the Society for Industrial and Applied Mathematics (SIAM).
Bibliographic Information
Book Title: Hyperbolic Conservation Laws in Continuum Physics
Authors: Constantine M. Dafermos
Series Title: Grundlehren der mathematischen Wissenschaften
DOI: https://doi.org/10.1007/978-3-642-04048-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Softcover ISBN: 978-3-642-24242-7Published: 29 November 2011
eBook ISBN: 978-3-642-04048-1Published: 12 December 2009
Series ISSN: 0072-7830
Series E-ISSN: 2196-9701
Edition Number: 3
Number of Pages: XXXV, 710
Topics: Partial Differential Equations, Thermodynamics, Classical Mechanics, Solid Mechanics, Solid Mechanics